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arXiv · 1502.02992

One loop radiative corrections to the translation-invariant noncommutative Yukawa Theory

Karim Bouchachia·Smain Kouadik·Mahmoud Hachemane·Manfred Schweda
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Abstract

We elaborate in this paper a translation-invariant model for fermions in 4-dimensional noncommutative Euclidean space. The construction is done on the basis of the renormalizable noncommutative translation-invariant Phi4 theory introduced by R. Gurau et al. We combine our model with the scalar model, in order to study the noncommutative pseudo-scalar Yukawa theory. After we derive the Feynman rules of the theory, we perform an explicit calculation of the quantum corrections at one loop level to the propagators and vertices.

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Karim Bouchachia, Smain Kouadik, Mahmoud Hachemane, Manfred Schweda. 2015-02-10. One loop radiative corrections to the translation-invariant noncommutative Yukawa Theory. https://doi.org/10.1088/1751-8113%2F48%2F36%2F365401

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